12th Class Mathematics Determinants

  • question_answer 61)
    Examine the consistency of the system of equations. 5x – y + 4 z = 5; 2x + 3y + 5z = 2; 5x – 2y + 6z = –1.  

    Answer:

    The given system of equations can be expressed as AX = B       Where                                     = 5 (18 + 10) +1 (12 ? 25) + 4 (?4 ? 15)             = 140 ? 13 ? 76 = 51  0          Hence A is non-singular matrix so given system is consistent.  


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